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Finding the Fourth Proportional to 415.44, 574.02 and 328.77

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Solution

The fourth proportional to 415.44, 574.02 and 328.77 is: 454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.44 : 574.02 = 328.77 : x
  2. Step 2: Convert to fraction form
    415.44/574.02 = 328.77/x
  3. Step 3: Cross multiply
    415.44x = 574.02 × 328.77
  4. Step 4: Simplify right side
    415.44x = 188,720.56
  5. Step 5: Solve for x
    x = 188,720.56/415.44
  6. Step 6: Final answer
    x = 454.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.